On the maximal unramified pro-2-extension of \(\mathbb Z_2\)-extensions of certain real quadratic fields.

DOI10.1016/J.JNT.2003.10.002zbMath1061.11061OpenAlexW1997365199MaRDI QIDQ1429805

Yasushi Mizusawa

Publication date: 27 May 2004

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2003.10.002

zbMATH Keywords

class field towerreal quadratic field\(Z_2\)-extension

Mathematics Subject Classification ID

Quadratic extensions (11R11) Iwasawa theory (11R23)

Related Items (3)

The commutativity of Galois groups of the maximal unramified pro-\(p\)-extensions over the cyclotomic \(\mathbb{Z}_{p}\)-extensions. II ⋮ Some problems on \(p\)-class field towers ⋮ On the \(p\)-class tower of a \(\mathbb Z_p\)-extension

Cites Work

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• Number fields with class number congruent to 4 mod 8 and Hilbert's Theorem 94
• Remarks on \(\mathbb{Z}_ p\)-extensions of number fields
• Über Den Bizyklischen Biquadratischen Zahlkörper
• Remark on the Iwasawa Invariants of p-Extensions of a Totally Real Number Field
• On the Iwasawa Invariants of Totally Real Number Fields
• On the vanishing of Iwasawa invariants of absolutely abelian p-extensions
• On the maximal unramified p-extension of an algebraic number field.
• Real Quadratic Number Fields with 2-Class Group of Type (2,2).
• On Greenberg's conjecture on a certain real quadratic field

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